OCR Further Pure Core 2 2018 September — Question 4

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
Year2018
SessionSeptember
TopicVectors: Lines & Planes

4 \end{array} \right) .$$ (ii) Find the point of intersection of \(l _ { 1 }\) and \(l _ { 2 }\).
(iii) Find the acute angle between \(l _ { 1 }\) and \(l _ { 2 }\). 2 In this question you must show detailed reasoning.
(i) Find \(\int _ { \frac { 1 } { 4 } \pi } ^ { \frac { 1 } { 3 } \pi } 2 \tan x \mathrm {~d} x\) giving your answer in the form \(\ln p\).
(ii) Show that \(\int _ { 0 } ^ { \frac { 1 } { 2 } \pi } 2 \tan x \mathrm {~d} x\) is undefined explaining your reasoning. 3 The equation of a plane, \(\Pi\), is $$\Pi : \quad \mathbf { r } = \left( \begin{array} { c } 2
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